Chinese Quarterly Journal of Mathematics ›› 1992, Vol. 7 ›› Issue (4): 9-12.

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Operator Matrix Forms of Positive Operators

  

  1. Department of Mathematics Shanxi Normal University,,Xian 710062
  • Received:1990-05-14 Online:1992-12-30 Published:2025-06-17
  • Supported by:
    The subject supported by NSF of China.

Abstract:  If a 3-tuple (A:H1→H1,B:H2→H1,C:H2→H2) of operators on Hilbert spaces is given,we proved that the operator ...  is the generalized inverse of A. In general,A+ is a closed operator,but since ...  is bounded yet.

Key words:  , positive operator, range of operator